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Author:

Wu, Lihua (Wu, Lihua.) | Zhao, Mi (Zhao, Mi.) (Scholars:赵密) | Jeng, Dong-Sheng (Jeng, Dong-Sheng.) | Wang, Piguang (Wang, Piguang.) | Du, Xiuli (Du, Xiuli.)

Indexed by:

EI Scopus SCIE

Abstract:

An absorbing boundary condition (ABC) is particularly important for finite element simulation of wave propagation in a multilayered medium. In this paper, a spatially and temporally local high-order absorbing boundary condition is proposed for scalar wave propagation in semi-infinite multilayered media. A semi-discrete motion equation is derived by discretizing the truncation boundary of the semi-infinite domain along the vertical direction. The scalar dynamic stiffness in the frequency domain for a single degree of freedom (DOF) on the truncation boundary is obtained by only considering the first mode of the semi-infinite domain. The scalar dynamic stiffness is expressed as a continued fraction expansion that is stable and converges exponentially to the exact solution. The ABC based on the continued fraction for a single DOF on the truncation boundary is established by introducing auxiliary variables. The proposed ABC is always stable and it can be coupled straightforwardly with the existing finite element method. Since it is spatially decoupled and the coefficients in it are easy to obtain, the proposed ABC is convenient to apply in engineering. Numerical examples demonstrate the superior properties of the proposed method with high accuracy, high efficiency, and good stability.

Keyword:

Local absorbing boundary condition Multilayered medium Continued fraction expansion Scalar wave

Author Community:

  • [ 1 ] [Wu, Lihua]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China
  • [ 2 ] [Zhao, Mi]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China
  • [ 3 ] [Wang, Piguang]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China
  • [ 4 ] [Du, Xiuli]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China
  • [ 5 ] [Jeng, Dong-Sheng]Griffith Univ, Sch Engn & Built Environm, Gold Coast Campus, Queensland, Qld 4222, Australia

Reprint Author's Address:

  • 赵密

    [Zhao, Mi]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China

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Source :

COMPUTERS AND GEOTECHNICS

ISSN: 0266-352X

Year: 2020

Volume: 128

5 . 3 0 0

JCR@2022

ESI Discipline: COMPUTER SCIENCE;

ESI HC Threshold:132

Cited Count:

WoS CC Cited Count: 4

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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